# A model train with a mass of #7 kg# is moving along a track at #12 (cm)/s#. If the curvature of the track changes from a radius of #32 cm# to #36 cm#, by how much must the centripetal force applied by the tracks change?

The change in centripetal force is

Centripetal force is what

The tracks' respective radii are

additionally

The centripetal force's variance is

What are the centripetal forces?

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To find the change in centripetal force, we first need to calculate the centripetal force exerted by the tracks on the model train before and after the change in curvature. Centripetal force can be calculated using the formula:

F = (m * v^2) / r

Where: F = centripetal force m = mass of the object (7 kg in this case) v = velocity of the object (12 cm/s) r = radius of the curvature (before and after the change)

Before the change: r1 = 32 cm F1 = (7 * 12^2) / 32

After the change: r2 = 36 cm F2 = (7 * 12^2) / 36

Change in centripetal force = F2 - F1

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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